Author: Sk Shahid Nadim; Indrajit Ghosh; Joydev Chattopadhyay
Title: Global dynamics of a general vector-borne disease model with two transmission routes Document date: 2018_12_7
ID: 0gwuvaj2_110
Snippet: This completes the proof. phenomenon shows that if R 0 < 1, although the DFE is stable, another stable endemic equilibrium may 385 coexist simultaneously. When the multiple stable equilibrium coexist then the population will reach 386 the final equilibrium depending on the initial conditions. Backward bifurcation phenomenon for the 387 system (2.1) is shown in Fig. 1 . Here, a stable DFE and a stable endemic equilibrium point coexist 388 when 0 <.....
Document: This completes the proof. phenomenon shows that if R 0 < 1, although the DFE is stable, another stable endemic equilibrium may 385 coexist simultaneously. When the multiple stable equilibrium coexist then the population will reach 386 the final equilibrium depending on the initial conditions. Backward bifurcation phenomenon for the 387 system (2.1) is shown in Fig. 1 . Here, a stable DFE and a stable endemic equilibrium point coexist 388 when 0 < R c < R 0 < 1, where R c is the critical value, which is shown in Fig. 1 and R c = 0.274 for the 389 given parameters values. In Fig. 1 , the green line represents the unstable equilibrium, while the blue line is established analytically. The Jacobian of the system (3.2) at diseases free equilibrium Y 0 is given as
Search related documents:
Co phrase search for related documents- bifurcation phenomenon and DFE stable stable endemic equilibrium: 1
- bifurcation phenomenon and endemic equilibrium: 1, 2, 3, 4, 5, 6, 7, 8, 9
- bifurcation phenomenon and equilibrium coexist: 1
- bifurcation phenomenon and free equilibrium: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
- bifurcation phenomenon and green line: 1
- bifurcation phenomenon and green line unstable equilibrium represent: 1
- blue line and endemic equilibrium: 1
- blue line and equilibrium coexist: 1
- blue line and green line: 1, 2, 3, 4, 5, 6, 7
- blue line and green line unstable equilibrium represent: 1
- critical value and endemic equilibrium: 1, 2, 3, 4, 5, 6
- critical value and free equilibrium: 1, 2, 3, 4, 5
- critical value and initial condition: 1
- critical value and parameter value: 1, 2, 3, 4
- DFE stable stable endemic equilibrium and endemic equilibrium: 1
- DFE stable stable endemic equilibrium and free equilibrium: 1
- endemic equilibrium and equilibrium coexist: 1, 2, 3
- endemic equilibrium and free equilibrium: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
- endemic equilibrium and green line: 1
Co phrase search for related documents, hyperlinks ordered by date